document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120175>Question 120175</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh>Algebra Structure and Method </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve, using two equations in two variables\r<BR>\n" );
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document.write( "If you buy six pens and one mechanical pencil, you'll get only $1 change from your $10 bill.  But if you buy four pens and two mechanical pencils, you'll get $2 change.  How much does each pen and each pencil cost?\r<BR>\n" );
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document.write( "If anyone can answer this problem I would deeply appreciate it.  Please and Thank You!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88059 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=88059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you buy six pens and one mechanical pencil, you'll get only $1 change from your $10 bill. But if you buy four pens and two mechanical pencils, you'll get $2 change. How much does each pen and each pencil cost? <BR>\n" );
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document.write( "Let \"p\" be the price of a pen; Let \"m\" be the price of a pencil.<BR>\n" );
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document.write( "EQUATIONS:<BR>\n" );
document.write( "6p + m = 9<BR>\n" );
document.write( "4p + 2m=8<BR>\n" );
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document.write( "Multiply thru 1st equation by 2 to get:<BR>\n" );
document.write( "12p + 2m = 18<BR>\n" );
document.write( "Subtract from the 2nd equation:<BR>\n" );
document.write( "-8p = -10<BR>\n" );
document.write( "p = 10/8 = $1.25 (price of a pen)<BR>\n" );
document.write( "Substitute to find \"m\":<BR>\n" );
document.write( "6(1.25)+m = 9<BR>\n" );
document.write( "7.50 + m = 9<BR>\n" );
document.write( "m = $1.50 (price of a michanical pencil)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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